Vertical angles are angles opposite to each other when two lines cross.
what's interesting is that vertical angles are equal.
Based on this:
angle ABC = angle EBF
3x + 8 = 2x + 48
x = 40
measure angle ABC=measure angle EBF =
3(40)+8 = 128 degrees
To add fractions, find the LCD and then combine.
Exact form:
9/2
Decimal form:
4.5
Mixed number form:
4 1/2
So, answer is
4 1/2
Hope this helps!
In A Circle:
If AB || CD ⇒ BC = AD = 16°
AB + BC + CD + AD = 360°
AB + CD + 2BC = 360°
48° + CD + (2*16°) = 360°
CD = 360° - 48° - 32°
CD = 280°
Assume that adult have IQ scores<span> that are </span>normally distributed<span> with a </span>mean<span> of </span>100<span> ... of </span>15<span>, Find the probability that a randomly selected adult </span>has<span> an </span>IQ<span> that is less ... </span>mean<span> of </span>100<span> and a </span>standard deviation<span>of </span>15<span>. Find the </span>IQ score<span> separating the top ... The Beanstalk Club, a social organization for tall </span>people,has<span> a requirement ...</span>
Answer: 8 hours.
Step-by-step explanation:
We have the relation:
Time = distance/velocity
Distance = 50 miles
Velocity in horse = 9mph
Velocity walking = 3 1/2 mph = 3.5 mph
Then, if T is the total time, X is the distance that he travels in horse and Y is the distance that he travels by foot, we have:
X + Y = 50 miles:
T/2 = X/9mph
T/2 = Y/3.5mph
Then we have:
X/9mph = Y/3.5mph
X = Y*(9/3.5)
And by the first relation:
X = 50 mi - Y
then we have:
50mi - Y = Y*(9/3.5)
50mi = Y + Y*(9/3.5) = Y*(1 + 9/3.5) = Y*3.57
Y = 50mi/3.57 = 14mi
Then we have:
T/2 = 14mi/3.5mph
T = 2*(14/3.5) hours = 8 hours
